4,836 research outputs found
Finite-size critical scaling in Ising spin glasses in the mean-field regime
We study in Ising spin glasses the finite-size effects near the spin-glass
transition in zero field and at the de Almeida-Thouless transition in a field
by Monte Carlo methods and by analytical approximations. In zero field, the
finite-size scaling function associated with the spin-glass susceptibility of
the Sherrington-Kirkpatrick mean-field spin-glass model is of the same form as
that of one-dimensional spin-glass models with power-law long-range
interactions in the regime where they can be a proxy for the Edwards-Anderson
short-range spin-glass model above the upper critical dimension. We also
calculate a simple analytical approximation for the spin-glass susceptibility
crossover function. The behavior of the spin-glass susceptibility near the de
Almeida-Thouless transition line has also been studied, but here we have only
been able to obtain analytically its behavior in the asymptotic limit above and
below the transition. We have also simulated the one-dimensional system in a
field in the non-mean-field regime to illustrate that when the Imry-Ma droplet
length scale exceeds the system size one can then be erroneously lead to
conclude that there is a de Almeida-Thouless transition even though it is
absent.Comment: 10 pages, 7 figure
Relations between entanglement, Bell-inequality violation and teleportation fidelity for the two-qubit X states
Based on the assumption that the receiver Bob can apply any unitary
transformation, Horodecki {\it et al.} [Phys. Lett. A {\bf 222}, 21 (1996)]
proved that any mixed two spin-1/2 state which violates the Bell-CHSH
inequality is useful for teleportation. Here, we further show that any X state
which violates the Bell-CHSH inequality can also be used for nonclassical
teleportation even if Bob can only perform the identity or the Pauli rotation
operations. Moreover, we showed that the maximal difference between the two
average fidelities achievable via Bob's arbitrary transformations and via the
sole identity or the Pauli rotation is 1/9.Comment: 5 pages, to be published in "Quantum Information Processing
Non-commutative field theory approach to two-dimensional vortex liquid system
We investigate the non-commutative (NC) field theory approach to the vortex
liquid system restricted to the lowest Landau level (LLL) approximation. NC
field theory effectively takes care of the phase space reduction of the LLL
physics in a -product form and introduces a new gauge invariant form of
a quartic potential of the order parameter in the Ginzburg-Landau (GL) free
energy. This new quartic interaction coupling term has a non-trivial
equivalence relation with that obtained by Br\'ezin, Nelson and Thiaville in
the usual GL framework. The consequence of the equivalence is discussed.Comment: Add vortex lattice formation, more references, and one autho
Liquid-to-liquid phase transition in pancake vortex systems
We study the thermodynamics of a model of pancake vortices in layered
superconductors. The model is based on the effective pair potential for the
pancake vortices derived from the London approximation of a version of the
Lawrence-Doniach model which is valid for extreme type-II superconductors.
Using the hypernetted-chain (HNC) approximation, we find that there is a
temperature below which multiple solutions to the HNC equations exist. By
explicitly evaluating the free energy for each solution we find that the system
undergoes a first-order transition between two vortex liquid phases. The
low-temperature phase has larger correlations along the field direction than
the high-temperature phase. We discuss the possible relation of this phase
transition to the liquid-to-liquid phase transition recently observed in
Y-Ba-Cu-O superconductors in high magnetic fields in the presence of disorder.Comment: 7 pages, 6 figure
Memory consolidation in the cerebellar cortex
Several forms of learning, including classical conditioning of the eyeblink, depend upon the cerebellum. In examining mechanisms of eyeblink conditioning in rabbits, reversible inactivations of the control circuitry have begun to dissociate aspects of cerebellar cortical and nuclear function in memory consolidation. It was previously shown that post-training cerebellar cortical, but not nuclear, inactivations with the GABA(A) agonist muscimol prevented consolidation but these findings left open the question as to how final memory storage was partitioned across cortical and nuclear levels. Memory consolidation might be essentially cortical and directly disturbed by actions of the muscimol, or it might be nuclear, and sensitive to the raised excitability of the nuclear neurons following the loss of cortical inhibition. To resolve this question, we simultaneously inactivated cerebellar cortical lobule HVI and the anterior interpositus nucleus of rabbits during the post-training period, so protecting the nuclei from disinhibitory effects of cortical inactivation. Consolidation was impaired by these simultaneous inactivations. Because direct application of muscimol to the nuclei alone has no impact upon consolidation, we can conclude that post-training, consolidation processes and memory storage for eyeblink conditioning have critical cerebellar cortical components. The findings are consistent with a recent model that suggests the distribution of learning-related plasticity across cortical and nuclear levels is task-dependent. There can be transfer to nuclear or brainstem levels for control of high-frequency responses but learning with lower frequency response components, such as in eyeblink conditioning, remains mainly dependent upon cortical memory storage
Digital transformations and the archival nature of surrogates
Large-scale digitization is generating extraordinary collections of visual
and textual surrogates, potentially endowed with transcendent long-term cultural
and research values. Understanding the nature of digital surrogacy is a substantial
intellectual opportunity for archival science and the digital humanities, because of
the increasing independence of surrogate collections from their archival sources.
The paper presents an argument that one of the most significant requirements for the
long-term access to collections of digital surrogates is to treat digital surrogates as
archival records that embody traces of their fluid lifecycles and therefore are worthy
of management and preservation as archives. It advances a theory of the archival
nature of surrogacy founded on longstanding notions of archival quality, the traces
of their source and the conditions of their creation, and the functional ‘‘work of the
archive.’’ The paper presents evidence supporting a ‘‘secondary provenance’’
derived from re-digitization, re-ingestion of multiple versions, and de facto
replacement of the original sources. The design of the underlying research that
motivates the paper and summary findings are reported separately. The research has
been supported generously by the US Institute of Museum and Library Services.Institute for Museum and Library ServicesPeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/111825/1/J26 Conway Digital Transformations 2014-pers.pdfDescription of J26 Conway Digital Transformations 2014-pers.pdf : Main articl
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